Whаt is the key difference between strаtified sаmpling and cluster sampling?
Cоmplete the fоllоwing question on your own pаper аnd uploаd your response via side angle camera. A bowling ball is released from rest at the top of Ramp 1, a straight ramp of length L1. The ball moves down Ramp 1 with a constant acceleration of magnitude a1. At the bottom of Ramp 1, the ball moves onto a horizontal section of track of length D and crosses it at constant speed. The ball then moves up Ramp 2, which is steeper than Ramp 1. On Ramp 2 the ball has a constant acceleration of magnitude a2, where a2 > a1, directed down the ramp. Ramp 2 is long enough that the ball reaches the very top of the ramp before rolling back down. Friction is negligible. Note: Diagram is not drawn to scale. a) (2 points) For this part, let the magnitude of a1 = 2.0 m/s2, L1 = 4.0 m, and D = 6.0 m. Calculate the time between the instant the ball is released and the instant it reaches the bottom of Ramp 2. b) Consider the ball's motion from the instant it is released until it momentarily comes to rest at the top of Ramp 2. i) (3 points) Sketch a graph of the ball's speed. The graph should begin at t = 0 and end at the instant the ball momentarily comes to rest. On the time axis, label the time t1 when the ball reaches the bottom of Ramp 1 and the time t2 when the ball reaches the bottom of Ramp 2. ii) (3 points) Sketch a graph of the ball's acceleration The graph should begin at t = 0 and end at the instant the ball momentarily comes to rest. On the time axis, label the times t1 and t2, consistent with your graph in part (b)(i). c) (2 points) For this part, let the magnitude of a2 = 4.0 m/s2. Use the values from part (a) as needed. Calculate the length of Ramp 2. Note: if you need a value from part a) in your calculation but weren't able to find it, then make up a reasonable value to use in this calculation. If you do this, then state it explicitly. You can still get full credit for part c) as long as you perform the calculation correctly regardless of the correctness (or not) of values from part a) that you use here. d) The horizontal section is replaced with one where friction must be taken into account. However, both ramps are unchanged (same heights, still without friction), and the ball is again released from rest at the top of Ramp 1. i) (1 point) Choose one option that indicates how the distance the ball travels up Ramp 2 before momentarily coming to rest compares to your answer from part (c). ____ Greater Than. _____ Less Than. ______ Equal To ii) (1 point) In a few sentences, justify your answer. Your answer must cite specific calculations or aspects from kinematics equations. Uploading work: CLEARLY SHOW THE METHOD USED AND THE STEPS INVOLVED IN ARRIVING AT YOUR ANSWERS. It is to your advantage to do this, since you may obtain partial credit if you do, and you will receive little or no credit if you do not. Attention should be paid to significant figures. Access the upload option: After finishing your test, go to the last question and select the "record upload media" option; Switch to your webcam: Ensure your webcam is plugged in and switch to its view within the assessment interface; Prepare your environment: Make sure you have good lighting (e.g., a desk lamp or natural light from a window) and maintain an optimal distance of 6-8 inches between your camera and your paper; Record "video pictures": Start recording, immediately hit "finish" after the countdown to take a snapshot of your work, and then save the media; Ensure clarity: Take your time when recording to avoid blurry or mushy images. Do not hold your paper, as this can cause the webcam to shake and result in unclear pictures; Submit multiple images if needed: If your teacher requires more than one picture or images from different sections, you can add additional "video pictures"; Review your submission: Before finalizing, double-check that the images you've provided are clear and make sense; Submit your test: Once all questions are answered and your work is uploaded, scroll to the end of your test and hit submit. Video If there is an issue with submitting your handwritten work via your side-angle camera (or if the images do not look clear), you will close the assessment and immediately upload your work to the "comments" box of the closed assessment.